1. Real Numbers and Algebraic Expressions

• 1.1 Study Skill Tips for Success in Mathematics
• 1.2 Algebraic Expressions and Sets of Numbers
• 1.3 Operations on Real Numbers and Order of Operations Integrated Review–Algebraic Expressions and Operations on Whole Numbers
• 1.4 Properties of Real Numbers and Algebraic Expressions

2. Equations, Inequalities, and Problem Solving

• 2.1 Linear Equations in One Variable
• 2.2 An Introduction to Problem Solving
• 2.3 Formulas and Problem Solving
• 2.4 Linear Inequalities and Problem Solving Integrated Review–Linear Equations and Inequalities
• 2.5 Compound Inequalities
• 2.6 Absolute Value Equations
• 2.7 Absolute Value Inequalities

3. Graphs and Functions

• 3.1 Graphing Equations
• 3.2 Introduction to Functions
• 3.3 Graphing Linear Functions
• 3.4 The Slope of a Line
• 3.5 Equations of Lines Integrated Review–Linear Equations in Two Variables
• 3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
• 3.7 Graphing Linear Inequalities

4. Systems of Equations

• 4.1 Solving Systems of Linear Equations in Two Variables
• 4.2 Solving Systems of Linear Equations in Three Variables
• 4.3 Systems of Linear Equations and Problem Solving Integrated Review–Systems of Linear Equations
• 4.4 Solving Systems of Equations by Matrices
• 4.5 Systems of Linear Inequalities

5. Exponents, Polynomials, and Polynomial Functions

• 5.1 Exponents and Scientific Notation
• 5.2 More Work with Exponents and Scientific Notation
• 5.3 Polynomials and Polynomial Functions
• 5.4 Multiplying Polynomials
• 5.5 The Greatest Common Factor and Factoring by Grouping
• 5.6 Factoring Trinomials
• 5.7 Factoring by Special Products Integrated Review–Operations on Polynomials and Factoring Strategies
• 5.8 Solving Equations by Factoring and Problem Solving

6. Rational Expressions

• 6.1 Rational Functions and Multiplying and Dividing Rational Expressions
• 6.2 Adding and Subtracting Rational Expressions
• 6.3 Simplifying Complex Fractions
• 6.4 Dividing Polynomials: Long Division and Synthetic Division
• 6.5 Solving Equations Containing Rational Expressions Integrated Review–Expressions and Equations Containing Rational Expressions
• 6.6 Rational Equations and Problem Solving
• 6.7 Variation and Problem Solving

7. Rational Exponents, Radicals, and Complex Numbers

• 7.2 Rational Exponents
• 7.5 Rationalizing Denominators and Numerators of Radical Expressions Integrated Review–Radicals and Rational Exponents
• 7.6 Radical Equations and Problem Solving
• 7.7 Complex Numbers

• 8.1 Solving Quadratic Equations by Completing the Square
• 8.3 Solving Equations by Using Quadratic Methods Integrated Review–Summary on Solving Quadratic Equations
• 8.4 Nonlinear Inequalities in One Variable
• 8.5 Quadratic Functions and Their Graphs
• 8.6 Further Graphing of Quadratic Functions

9. Exponential and Logarithmic Functions

• 9.1 The Algebra of Functions; Composite Functions
• 9.2 Inverse Functions
• 9.3 Exponential Functions
• 9.4 Exponential Growth and Decay Functions
• 9.5 Logarithmic Functions
• 9.6 Properties of Logarithms Integrated Review–Functions and Properties of Logarithms
• 9.7 Common Logarithms, Natural Logarithms, and Change of Base
• 9.8 Exponential and Logarithmic Equations and Problem Solving

10. Conic Sections

• 10.1 The Parabola and the Circle
• 10.2 The Ellipse and the Hyperbola Integrated Review–Graphing Conic Sections
• 10.3 Solving Nonlinear Systems of Equations
• 10.4 Nonlinear Inequalities and Systems of Inequalities

11. Sequences, Series, and the Binomial Theorem

• 11.1 Sequences
• 11.2 Arithmetic and Geometric Sequences
• 11.3 Series Integrated Review–Sequences and Series
• 11.4 Partial Sums of Arithmetic and Geometric Sequences
• 11.5 The Binomial Theorem

Appendices

• A Geometry
• B Stretching and Compressing Graphs of Absolute Value Functions
• C Solving Systems of Equations Using Determinants
• D An Introduction to Using a Graphing Utility
• Student Resources
• Study Skills Builders
• Bigger Picture–Study Guide Outline
• Practice Final Exam